Stability of Superposition of Viscous Contact Wave and Rarefaction Waves for Compressible Navier-Stokes System

2015/02/01 by Feimin Huang, Teng Wang, Huang, Feimin +1 · 2 citations
Engineering · Mathematics · #Analysis of PDEs (math.AP) #Computational Fluid Dynamics and Aerodynamics #FOS: Mathematics #Gas Dynamics and Kinetic Theory #Navier-Stokes equation solutions

paper · pdf · doi:10.48550/arxiv.1502.00211

openalex publication_date 2015/02/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/02

Abstract

This paper is concerned with the large-time behavior of solutions for the one-dimensional compressible Navier-Stokes system. We show that the combination of viscous contact wave with rarefaction waves for the non-isentropic polytropic gas is stable under large initial perturbation without the condition that the adiabatic exponent γ is close to 1, provided the strength of the combination waves is suitably small.

Citations

• Nonlinear asymptotic stability of viscous shock profiles for conservation laws

Cited by

• Stability of Superposition of Viscous Contact Wave and Rarefaction Waves for Compressible Navier-Stokes System with Degenerate Heat-Conductivity and Large-Data
• Nonlinear stability of a composite wave to the Cauchy problem of 1-D full compressible Navier-Stokes-Allen-Cahn system

Related

• Nonlinear Stability for the Superposition of Viscous Contact Wave and Rarefaction Waves to Non-isentropic Compressible Navier-Stokes System with General Initial Perturbations
• Stability of Superposition of Viscous Contact Wave and Rarefaction Waves for Compressible Navier-Stokes System with Degenerate Heat-Conductivity and Large-Data
• Global stability of combination of viscous contact wave with rarefaction waves for the compressible fluid models of Korteweg type
• Asymptotic stability of the superposition of viscous contact wave with rarefaction waves for the compressible Navier-Stokes-Maxwell equations
• Asymptotic stability of the combination of a viscous contact wave with two rarefaction waves for 1-D Navier-Stokes equations under periodic perturbations